Mathematics – New Zealand – National Standards
6.NA – Number and algebra
6.NA.1 – Apply additive and simple multiplicative strategies flexibly to:
6.NA.1.a – Combine or partition whole numbers, including performing mixed operations and using addition and subtraction as inverse operations

81 learning outcomes – click to view
Samples: Write numbers – to 100,000. Reading numbers – to 100,000. Comparing numbers – to 100,000.

Write numbers – to 100,000
 Activities: 1 course, 0 extra

Reading numbers – to 100,000
 Activities: 1 course, 0 extra

Comparing numbers – to 100,000
 Activities: 1 course, 0 extra

Write numbers – to 100,000
 Activities: 1 course, 0 extra

Expanded notation (no clues given)
 Activities: 1 course, 0 extra

Two digit addition (missing number)
 Activities: 2 course, 2 extra

Make 100
 Activities: 2 course, 0 extra

Make 100  problem solving
 Activities: 2 course, 2 extra

Challenge puzzle  make 100
 Activities: 1 course, 0 extra

Addition of large numbers
 Activities: 4 course, 10 extra

Addition of large numbers  problem solving
 Activities: 2 course, 9 extra

Addition of large numbers (puzzle)
 Activities: 1 course, 0 extra

Adding three numbers
 Activities: 5 course, 2 extra

Addition and Subtraction  problem solving
 Activities: 1 course, 0 extra

Adding three numbers  problem solving
 Activities: 2 course, 4 extra

Adding on to multiples of 10
 Activities: 2 course, 0 extra

Adding on to multiples of 10  problem solving
 Activities: 2 course, 4 extra

Addition and Subtraction (two step problem solving)
 Activities: 1 course, 0 extra

Addition and Subtraction  problem solving
 Activities: 1 course, 0 extra

Adding three numbers  problem solving
 Activities: 1 course, 0 extra

Addition  problem solving
 Activities: 1 course, 0 extra

Two digit subtraction  Adding on!
 Activities: 3 course, 0 extra

Two digit subtraction  jump back strategy
 Activities: 4 course, 3 extra

Two digit subtraction  written strategy
 Activities: 5 course, 5 extra

Two digit subtraction  Drill
 Activities: 1 course, 0 extra

Two digit subtraction  problem solving
 Activities: 5 course, 14 extra

Challenge puzzle  two digit subtraction
 Activities: 1 course, 0 extra

Add and subtract within 1000  Drill
 Activities: 2 course, 0 extra

Subtract from 1000
 Activities: 3 course, 0 extra

Subtract from 1000  problem solving
 Activities: 2 course, 4 extra

Subtracting large numbers
 Activities: 4 course, 5 extra

Subtracting large numbers  problem solving
 Activities: 2 course, 4 extra

Subtracting from 1000 and 10000  problem solving
 Activities: 2 course, 0 extra

Subtraction  missing number
 Activities: 1 course, 1 extra

Addition and Subtraction Revision
 Activities: 2 course, 2 extra

Subtraction  problem solving
 Activities: 2 course, 0 extra

Balancing equations  Equivalent number sentences
 Activities: 2 course, 0 extra

Brackets in number operations
 Activities: 1 course, 0 extra

Brackets in number operations  Two Step
 Activities: 1 course, 0 extra

Balancing equations  Equivalent number sentences
 Activities: 4 course, 0 extra

Mentals 73
 Activities: 1 course, 0 extra

Mentals 74
 Activities: 1 course, 0 extra

Mentals 75
 Activities: 1 course, 0 extra

Mentals 76
 Activities: 1 course, 0 extra

Mentals 77
 Activities: 1 course, 0 extra

Mentals 78
 Activities: 1 course, 0 extra

Mentals 79
 Activities: 1 course, 0 extra

Mentals 80
 Activities: 1 course, 0 extra

Mentals 81
 Activities: 1 course, 0 extra

Mentals 82
 Activities: 1 course, 0 extra

Mentals 83
 Activities: 1 course, 0 extra

Mentals 84
 Activities: 1 course, 0 extra

Mentals 85
 Activities: 1 course, 0 extra

Mentals 86
 Activities: 2 course, 0 extra

Mentals 87
 Activities: 1 course, 0 extra

Mentals 88
 Activities: 1 course, 0 extra

Mentals 89
 Activities: 1 course, 0 extra

Mentals 90
 Activities: 1 course, 0 extra

Mentals 91
 Activities: 1 course, 0 extra

Mentals 92
 Activities: 1 course, 0 extra

Mentals 93
 Activities: 2 course, 0 extra

Mentals 94
 Activities: 2 course, 0 extra

Mentals 95
 Activities: 1 course, 0 extra

Mentals 96
 Activities: 1 course, 0 extra

Mentals 97
 Activities: 1 course, 0 extra

Mentals 98
 Activities: 1 course, 0 extra

Mentals 99
 Activities: 1 course, 0 extra

Mentals 100
 Activities: 1 course, 0 extra

Mentals 101
 Activities: 1 course, 0 extra

Mentals 102
 Activities: 1 course, 0 extra

Mentals 103
 Activities: 2 course, 0 extra

Mentals 104
 Activities: 1 course, 0 extra

Mentals 105
 Activities: 1 course, 0 extra

Mentals 106
 Activities: 1 course, 0 extra

Mentals 107
 Activities: 1 course, 0 extra

Mentals 108
 Activities: 1 course, 0 extra

Reading large numbers
 Activities: 1 course, 0 extra

Ordering large numbers
 Activities: 1 course, 2 extra

Write numbers – to 1,000,000 (common)
 Activities: 1 course, 0 extra

Write numbers – to 1,000,000
 Activities: 1 course, 0 extra

Comparing very large numbers
 Activities: 1 course, 0 extra


81 learning outcomes – click to view
6.NA.1.b – Find fractions of sets, shapes, and quantities

50 learning outcomes – click to view
Samples: Dividing by 6. Dividing by 6. Dividing by 7. Dividing by 7. Dividing by 8. Dividing by 8. Dividing by 9. Division 9's.

Dividing by 6
 Activities: 2 course, 0 extra

Dividing by 6  problem solving
 Activities: 3 course, 2 extra

Dividing by 7
 Activities: 2 course, 0 extra

Dividing by 7  problem solving
 Activities: 3 course, 2 extra

Dividing by 8  problem solving
 Activities: 3 course, 2 extra

Dividing by 8
 Activities: 2 course, 0 extra

Dividing by 9  problem solving
 Activities: 3 course, 4 extra

Dividing by 9
 Activities: 1 course, 0 extra

Division facts
 Activities: 4 course, 2 extra

Division facts  problem solving
 Activities: 2 course, 7 extra

Division facts  Missing Number
 Activities: 2 course, 0 extra

Dividing multiples of 10 by a single digit number
 Activities: 2 course, 0 extra

Dividing multiples of 10 by a single digit number  problem solving
 Activities: 1 course, 2 extra

Halving numbers  Dividing by two
 Activities: 2 course, 2 extra

Dividing three digits by one digit  no remainders
 Activities: 4 course, 2 extra

Dividing three digits by one digit  no remainders  problem solving
 Activities: 0 course, 4 extra

Dividing with remainders
 Activities: 4 course, 3 extra

Division  problem solving
 Activities: 6 course, 7 extra

Fractions of an area
 Activities: 1 course, 1 extra

Comparing fractions as quantities.
 Activities: 1 course, 0 extra

Comparing fractions  1 whole
 Activities: 1 course, 0 extra

Modelling equivalent fractions.
 Activities: 2 course, 2 extra

Matching equivalent fractions
 Activities: 1 course, 0 extra

Hundredths in their lowest forms
 Activities: 1 course, 0 extra

Identifying simple fractions
 Activities: 1 course, 0 extra

Count by halves, thirds, quarters and eighths.
 Activities: 1 course, 0 extra

Tenths and hundredths.
 Activities: 3 course, 3 extra

Compare to one half.
 Activities: 1 course, 0 extra

Compare fractions: using comparison symbols (<, =, >)
 Activities: 1 course, 0 extra

Compare and order fractions.
 Activities: 2 course, 1 extra

Adding and subtracting fractions  problem solving
 Activities: 1 course, 0 extra

Adding fractions  visual cues
 Activities: 1 course, 0 extra

Addition and subtraction of fractions with the same denominators.
 Activities: 3 course, 0 extra

Adding fractions  Tenths and Hundredths
 Activities: 1 course, 0 extra

Multiplying fractions by a whole number  visual
 Activities: 1 course, 0 extra

Calculations involving money
 Activities: 1 course, 0 extra

Calculations involving money
 Activities: 1 course, 2 extra

Saving money and budgeting
 Activities: 1 course, 0 extra

Family expenditure (cost of living)
 Activities: 1 course, 0 extra

Income
 Activities: 1 course, 0 extra

How credit cards work
 Activities: 1 course, 0 extra

Revision
 Activities: 5 course, 3 extra

Dividing whole numbers by 100 and 1000
 Activities: 3 course, 0 extra

Division (estimation)
 Activities: 2 course, 0 extra

Division  large numbers
 Activities: 2 course, 1 extra

Division  large numbers  problem solving
 Activities: 2 course, 4 extra

Division puzzle
 Activities: 1 course, 0 extra

Division  problem solving
 Activities: 1 course, 0 extra

Long division
 Activities: 2 course, 0 extra

Long division  problem solving
 Activities: 1 course, 5 extra


50 learning outcomes – click to view
6.NA.2 – Determine members of sequential patterns, given their ordinal positions

9 learning outcomes – click to view
Samples: Identify the rules for number patterns. Continue number patterns. Challenge puzzle  Algebra.

Identify the rules for number patterns
 Activities: 1 course, 0 extra

Continue number patterns resulting from addition or subtraction
 Activities: 1 course, 0 extra

Challenge puzzle  Algebra
 Activities: 1 course, 0 extra

Explore patterns created by objects
 Activities: 1 course, 0 extra

Challenge Puzzle  Balancing equations
 Activities: 1 course, 0 extra

Represent problems using algebraic equation
 Activities: 1 course, 0 extra

Describe and continue number patterns resulting from multiplication
 Activities: 1 course, 0 extra

Rules defining number patterns
 Activities: 1 course, 0 extra

Solve equivalent number sentences presented in written form
 Activities: 1 course, 0 extra


9 learning outcomes – click to view
6.NA.3 – Describe spatial and number patterns, using:
6.NA.3.a – Tables and graphs

9 learning outcomes – click to view
Samples: Patterns created by objects. Challenge Puzzle  Balancing equations. Represent problems using algebraic equation.

Explore patterns created by objects
 Activities: 1 course, 0 extra

Challenge Puzzle  Balancing equations
 Activities: 1 course, 0 extra

Represent problems using algebraic equation
 Activities: 1 course, 0 extra

Describe and continue number patterns resulting from multiplication
 Activities: 1 course, 0 extra

Rules defining number patterns
 Activities: 1 course, 0 extra

Solve equivalent number sentences presented in written form
 Activities: 1 course, 0 extra

Applying rules to number tables
 Activities: 1 course, 0 extra

Interpret data presented in two way tables.
 Activities: 1 course, 0 extra

Interpret data presented in a spreadsheet
 Activities: 1 course, 1 extra


9 learning outcomes – click to view
6.NA.3.b – Rules that involve spatial features, repeated addition or subtraction, and simple multiplication.

68 learning outcomes – click to view
Samples: Addition two Digit  Missing Numbers. Addition Make 100. Make 100. Challenge puzzle. Addition Of Five Digit Numbers.

Two digit addition (missing number)
 Activities: 2 course, 2 extra

Make 100
 Activities: 2 course, 0 extra

Make 100  problem solving
 Activities: 2 course, 2 extra

Challenge puzzle  make 100
 Activities: 1 course, 0 extra

Addition of large numbers
 Activities: 4 course, 10 extra

Addition of large numbers  problem solving
 Activities: 2 course, 9 extra

Addition of large numbers (puzzle)
 Activities: 1 course, 0 extra

Adding three numbers
 Activities: 5 course, 2 extra

Addition and Subtraction  problem solving
 Activities: 1 course, 0 extra

Adding three numbers  problem solving
 Activities: 2 course, 4 extra

Adding on to multiples of 10
 Activities: 2 course, 0 extra

Adding on to multiples of 10  problem solving
 Activities: 2 course, 4 extra

Addition and Subtraction (two step problem solving)
 Activities: 1 course, 0 extra

Addition and Subtraction  problem solving
 Activities: 1 course, 0 extra

Adding three numbers  problem solving
 Activities: 1 course, 0 extra

Addition  problem solving
 Activities: 1 course, 0 extra

Two digit subtraction  Adding on!
 Activities: 3 course, 0 extra

Two digit subtraction  jump back strategy
 Activities: 4 course, 3 extra

Two digit subtraction  written strategy
 Activities: 5 course, 5 extra

Two digit subtraction  Drill
 Activities: 1 course, 0 extra

Two digit subtraction  problem solving
 Activities: 5 course, 14 extra

Challenge puzzle  two digit subtraction
 Activities: 1 course, 0 extra

Add and subtract within 1000  Drill
 Activities: 2 course, 0 extra

Subtract from 1000
 Activities: 3 course, 0 extra

Subtract from 1000  problem solving
 Activities: 2 course, 4 extra

Subtracting large numbers
 Activities: 4 course, 5 extra

Subtracting large numbers  problem solving
 Activities: 2 course, 4 extra

Subtracting from 1000 and 10000  problem solving
 Activities: 2 course, 0 extra

Subtraction  missing number
 Activities: 1 course, 1 extra

Addition and Subtraction Revision
 Activities: 2 course, 2 extra

Subtraction  problem solving
 Activities: 2 course, 0 extra

Patterns of 6
 Activities: 5 course, 0 extra

6x tables  skills
 Activities: 3 course, 3 extra

6x tables  problem solving
 Activities: 2 course, 3 extra

Patterns of 7
 Activities: 5 course, 0 extra

7x tables  skills
 Activities: 3 course, 4 extra

7x tables  problem solving
 Activities: 2 course, 3 extra

Patterns of 8
 Activities: 5 course, 0 extra

8x tables  skills
 Activities: 3 course, 3 extra

8x tables  problem solving
 Activities: 2 course, 3 extra

Patterns of 9
 Activities: 5 course, 0 extra

9x tables  skills
 Activities: 3 course, 4 extra

Problem solving: Multiplicative comparison
 Activities: 1 course, 0 extra

9x tables  problem solving
 Activities: 3 course, 5 extra

2x10x tables  skills
 Activities: 3 course, 8 extra

2x10x tables  problem solving
 Activities: 4 course, 4 extra

2x10x tables  puzzle
 Activities: 1 course, 0 extra

Arrays
 Activities: 0 course, 1 extra

Multiplicative comparisons
 Activities: 4 course, 0 extra

11x tables  skills
 Activities: 2 course, 0 extra

12x tables  skills
 Activities: 2 course, 0 extra

Multiplying by 10
 Activities: 5 course, 3 extra

Multiplying by 100
 Activities: 6 course, 3 extra

Multiplying by 10 or 100  problem solving
 Activities: 3 course, 6 extra

Multiplying multiples of 10  problem solving
 Activities: 1 course, 0 extra

2x10x tables
 Activities: 2 course, 5 extra

2x10x tables  missing number
 Activities: 3 course, 5 extra

Multiples of 10 by 1 digit  skills
 Activities: 5 course, 2 extra

Multiples of 10 by 1 digit  problem solving
 Activities: 2 course, 3 extra

Multiplying multiples of 10  puzzle
 Activities: 1 course, 0 extra

Multiplying 2 by 1 digit  problem solving
 Activities: 4 course, 7 extra

Multiplying 2 digits by a 1 digit number  Mental Strategies
 Activities: 1 course, 2 extra

Multiplying 2 digits by a 1 digit number  written strategy
 Activities: 3 course, 4 extra

Multiplying 2 digits by a 1 digit number
 Activities: 1 course, 7 extra

Multiplying three numbers (under 10)
 Activities: 1 course, 0 extra

Multiplying 2 digits by a 1 digit number  Puzzle
 Activities: 1 course, 0 extra

Multiplying multiples of 10  Missing Numbers
 Activities: 3 course, 4 extra

Multiplication  Two digits by One Digit  Missing Number
 Activities: 2 course, 2 extra


68 learning outcomes – click to view
6.GM – Geometry and measurement
6.GM.1 – Measure time and the attributes of objects, choosing appropriate standard units

37 learning outcomes – click to view
Samples: Time. Time  'a.m.' and 'p.m.'. 24 hour time  am or pm. 24 Hour Time. Units Of Measure Metric. Units Of Measure Metric.

Time
 Activities: 1 course, 0 extra

Use a.m. and p.m.
 Activities: 1 course, 0 extra

24 hour time  am or pm
 Activities: 2 course, 1 extra

24 Hour Time
 Activities: 1 course, 0 extra

Which measuring device?
 Activities: 2 course, 0 extra

Using the appropriate tools for measuring length
 Activities: 2 course, 0 extra

Length  problem solving
 Activities: 2 course, 1 extra

Challenge puzzle  length (m)
 Activities: 1 course, 0 extra

Use instruments to measure length.
 Activities: 2 course, 0 extra

Converting between kilometers and meters
 Activities: 2 course, 0 extra

Choose appropriate units when measuring length.
 Activities: 2 course, 0 extra

Perimeter of squares and rectangles.
 Activities: 2 course, 0 extra

Perimeter of irregular shapes.
 Activities: 2 course, 6 extra

Challenge puzzle perimeter
 Activities: 1 course, 0 extra

Length  problem solving
 Activities: 1 course, 0 extra

Length and money  problem solving
 Activities: 1 course, 0 extra

Scaled instruments used to measure volume.
 Activities: 1 course, 3 extra

Reading measuring devices
 Activities: 2 course, 0 extra

Customary units
 Activities: 1 course, 2 extra

Measure volume using centicubes
 Activities: 2 course, 4 extra

Volume
 Activities: 1 course, 0 extra

Choosing appropriate units for measuring volume (mL or L)
 Activities: 1 course, 0 extra

Estimating volume
 Activities: 1 course, 0 extra

Choosing appropriate units for measuring volume (cm3 or m3)
 Activities: 1 course, 0 extra

Volume of cubes and rectangular prisms using centicubes
 Activities: 1 course, 0 extra

Volume
 Activities: 1 course, 0 extra

Volume and money
 Activities: 1 course, 0 extra

Use scaled instruments to measure mass
 Activities: 3 course, 1 extra

Reading scaled instruments
 Activities: 2 course, 0 extra

Balanced scales
 Activities: 1 course, 0 extra

Mass
 Activities: 1 course, 0 extra

Converting between grams and kilograms
 Activities: 1 course, 0 extra

Choosing appropriate units for measuring mass
 Activities: 2 course, 0 extra

Estimating mass
 Activities: 1 course, 0 extra

Reading scales
 Activities: 1 course, 0 extra

Mass
 Activities: 1 course, 0 extra

Mass and money
 Activities: 1 course, 0 extra


37 learning outcomes – click to view
6.GM.2 – Use arrays to find the areas of rectangles and the volumes of cuboids, given wholenumber dimensions

11 learning outcomes – click to view
Samples: Measuring capacity using scaled instruments: Activity 1. Reading Measuring Devices.

Scaled instruments used to measure volume.
 Activities: 1 course, 3 extra

Reading measuring devices
 Activities: 2 course, 0 extra

Customary units
 Activities: 1 course, 2 extra

Measure volume using centicubes
 Activities: 2 course, 4 extra

Volume
 Activities: 1 course, 0 extra

Choosing appropriate units for measuring volume (mL or L)
 Activities: 1 course, 0 extra

Estimating volume
 Activities: 1 course, 0 extra

Choosing appropriate units for measuring volume (cm3 or m3)
 Activities: 1 course, 0 extra

Volume of cubes and rectangular prisms using centicubes
 Activities: 1 course, 0 extra

Volume
 Activities: 1 course, 0 extra

Volume and money
 Activities: 1 course, 0 extra


11 learning outcomes – click to view
6.GM.3 – Sort two and threedimensional shapes (including prisms), considering given properties simultaneously and justifying the decisions made

14 learning outcomes – click to view
Samples: Constructing 2D shapes. Combining or splitting 2D shapes. Attributes of two dimensional shapes.

Construct and draw two dimensional shapes
 Activities: 1 course, 4 extra

Identify twodimensional shapes created when combining or splitting shapes
 Activities: 1 course, 0 extra

Attributes of two dimensional shapes
 Activities: 1 course, 0 extra

Grouping two dimensional shapes based on their attributes
 Activities: 1 course, 0 extra

Describe the features of threedimensional objects
 Activities: 4 course, 5 extra

Learning the names of threedimensional objects
 Activities: 2 course, 0 extra

Naming threedimensional objects
 Activities: 2 course, 3 extra

Draw threedimensional shapes
 Activities: 5 course, 8 extra

Nets of three dimensional objects
 Activities: 4 course, 2 extra

Identifying properties and naming prisms and pyramids
 Activities: 2 course, 8 extra

Challenge Puzzle  prisms and pyramids
 Activities: 1 course, 0 extra

Compare an angle to a right angle.
 Activities: 2 course, 1 extra

Measure and compare angles.
 Activities: 4 course, 2 extra

Estimate the size of angles.
 Activities: 1 course, 0 extra


14 learning outcomes – click to view
6.GM.4 – Represent and describe the results of reflection, rotation, and translation on shapes or patterns

5 learning outcomes – click to view
Samples: Creating symmetrical patterns. Translations, reflections or rotations: Activity 1. Line of symmetry.

Create symmetrical patterns using pictures and shapes
 Activities: 2 course, 3 extra

Identify translations, reflections and rotations.
 Activities: 2 course, 0 extra

Identify line of symmetry.
 Activities: 1 course, 0 extra

Identify rotational symmetry.
 Activities: 0 course, 1 extra

Apply enlargement transformation
 Activities: 1 course, 3 extra


5 learning outcomes – click to view
6.GM.5 – Identify nets for rectangular prisms

2 learning outcomes – click to view
Samples: Drawing 3D Objects  cylinder. Matching  threedimensional objects with their nets.

Draw threedimensional shapes
 Activities: 5 course, 8 extra

Nets of three dimensional objects
 Activities: 4 course, 2 extra


2 learning outcomes – click to view
6.GM.6 – Draw or make objects, given their plan, front, and side views

5 learning outcomes – click to view
Samples: Identifying corners on 3D objects. Learning the names of threedimensional objects. Naming 3D Objects.

Describe the features of threedimensional objects
 Activities: 4 course, 5 extra

Learning the names of threedimensional objects
 Activities: 2 course, 0 extra

Naming threedimensional objects
 Activities: 2 course, 3 extra

Draw threedimensional shapes
 Activities: 5 course, 8 extra

Nets of three dimensional objects
 Activities: 4 course, 2 extra


5 learning outcomes – click to view
6.GM.7 – Describe locations and give directions, using grid references, turns, and points of the compass.

5 learning outcomes – click to view
Samples: Interpret simple grid maps: Activity 1. Read and interpret basic maps: Activity 1.

Interpret simple grid maps
 Activities: 2 course, 0 extra

Interpret basic maps.
 Activities: 2 course, 0 extra

Use grid reference to identify location
 Activities: 1 course, 7 extra

Describe locations using a grid reference.
 Activities: 1 course, 0 extra

Describe routes using landmarks
 Activities: 1 course, 0 extra


5 learning outcomes – click to view
6.S – Statistics
6.S.1 – Investigate summary and comparison questions by using the statistical enquiry cycle:
6.S.1.a – Gather or access multivariate category and wholenumber data

11 learning outcomes – click to view
Samples: Surveys to collect data. Graphs. Two way tables. Interpreting column graphs  4.

Use surveys to collect data
 Activities: 1 course, 0 extra

Graphs
 Activities: 1 course, 0 extra

Interpret data presented in two way tables.
 Activities: 1 course, 0 extra

Interpret data using column graphs
 Activities: 1 course, 4 extra

Interpret data presented using picture graphs where one symbol represents many
 Activities: 1 course, 1 extra


11 learning outcomes – click to view